172440972 has 108 divisors (see below), whose sum is σ = 494964288. Its totient is φ = 50529600.

The previous prime is 172440953. The next prime is 172440973. The reversal of 172440972 is 279044271.

172440972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (172440973) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134398 + ... + 135674.

Almost surely, 2^172440972 is an apocalyptic number.

172440972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172440972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247482144).

172440972 is an abundant number, since it is smaller than the sum of its proper divisors (322523316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172440972 is a wasteful number, since it uses less digits than its factorization.

172440972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 172440972 is about 13131.6781867361. The cubic root of 172440972 is about 556.6046378508.

It can be divided in two parts, 172 and 440972, that added together give a palindrome (441144).

The spelling of 172440972 in words is "one hundred seventy-two million, four hundred forty thousand, nine hundred seventy-two".